Tried Plays On Linux's install of World of Tanks. This is a custom WINE setup that encapsulates WoT.
Ubuntu 12.04 32bit, Athlon II x4 940 (Quad core 3.0 Ghz) AMD HD7870, latest beta closed source drivers (13.6).
Installer worked, in-game updater worked, lobby seems to work fine. Game plays but gets 4 FPS and a ton of graphics glitches that renders game unplayable.
Exiting game screwed up X too; took a reboot to recover.
This apparently works on an nVidia card